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23010312330 = 2345194136467
BaseRepresentation
bin10101011011100001…
…011000000010001010
32012101121221222110000
4111123201120002022
5334111114443310
614323142503430
71443134266455
oct253341300212
965347858400
1023010312330
1198387a3255
124562134b76
13222925cc35
14118401449c
158ea19a4c0
hex55b85808a

23010312330 has 160 divisors (see below), whose sum is σ = 66718935360. Its totient is φ = 5671192320.

The previous prime is 23010312329. The next prime is 23010312331. The reversal of 23010312330 is 3321301032.

23010312330 is a `hidden beast` number, since 2 + 301 + 0 + 31 + 2 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (23010312329) and next prime (23010312331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23010312331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 612757 + ... + 649223.

It is an arithmetic number, because the mean of its divisors is an integer number (416993346).

Almost surely, 223010312330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23010312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33359467680).

23010312330 is an abundant number, since it is smaller than the sum of its proper divisors (43708623030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23010312330 is a wasteful number, since it uses less digits than its factorization.

23010312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36546 (or 36537 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23010312330 its reverse (3321301032), we get a palindrome (26331613362).

The spelling of 23010312330 in words is "twenty-three billion, ten million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 41 45 54 57 81 82 90 95 114 123 135 162 171 190 205 246 270 285 342 369 405 410 513 570 615 738 779 810 855 1026 1107 1230 1539 1558 1710 1845 2214 2337 2565 3078 3321 3690 3895 4674 5130 5535 6642 7011 7695 7790 11070 11685 14022 15390 16605 21033 23370 33210 35055 36467 42066 63099 70110 72934 105165 109401 126198 182335 210330 218802 315495 328203 364670 547005 630990 656406 692873 984609 1094010 1385746 1495147 1641015 1969218 2078619 2953827 2990294 3282030 3464365 4157238 4485441 4923045 5907654 6235857 6928730 7475735 8970882 9846090 10393095 12471714 13456323 14769135 14951470 18707571 20786190 22427205 26912646 28407793 29538270 31179285 37415142 40368969 44854410 56122713 56815586 62358570 67281615 80737938 85223379 93537855 112245426 121106907 134563230 142038965 170446758 187075710 201844845 242213814 255670137 280613565 284077930 403689690 426116895 511340274 561227130 605534535 767010411 852233790 1211069070 1278350685 1534020822 2301031233 2556701370 3835052055 4602062466 7670104110 11505156165 23010312330